Question

HELP, Prove: (cos(x))/(sin(x)tan(x))=cot^2x

Answer 1

bout to but can.you help me

Answer 2

Steps shown below

Explanation:

We will simplify this using definitions and identities. Let's start.

`(cos(x))/(sin(x)tan(x))`

Using
`tanx=(sinx)/(cosx)`, we have:

`(cos(x))/(sin(x)(sin(x))/(cos(x)))\\=(cos^2(x))/(sin^2(x))`

Using
`cot(x)=(cos(x))/(sin(x))`, we have:

`(cos^2(x))/(sin^2(x))\\=cot^2(x)`

Hence, proved.